XAT 2018 Question 70

Instructions

Six teams are playing in a hockey tournament where each team is playing against every other team exactly once. At an intermediate stage, the status is as follows:


Notes:
• The team that scores more goals than it concedes wins the match, while if both the teams score the same no. of goals, the match is declared drawn.
• Ina match played between Team X and Team Y, if team X scores 1 and concedes none. then the score line would read: Team X — Team Y (1-0)

Question 70

Which of the following score line is a possible outcome in the tournament?

Solution

Team A has won both its matches and scored 5 goals while conceding 1. Thus, the possible scorelines for team A are (4-1) & (1-0), (3-1) & (2-0), (2-1) & (3-0).

Similarly, the possible outcomes for others teams are as follows:

B: (5-1) & (0-0) and (4-0) & (1-1)

C: (2-0) & (0-0) and (1-0) & (1-1)

D: (0-0) & (1-1)

E: (0-2) & (1-2) and (0-1) & (1-3)

F: (0-1) & (0-6), (0-2) & (0-5) and so on.

By carefully observing the above scorelines, the following table can be obtained.

The above table shows that Team A - Team E match has the score-line (2 - 1).

Hence, option B is the answer.



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